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Finding the Fourth Proportional to 7,102.32, 9,802.08 and 4,449.84

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Solution

The fourth proportional to 7,102.32, 9,802.08 and 4,449.84 is: 6,141.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102.32 : 9,802.08 = 4,449.84 : x
  2. Step 2: Convert to fraction form
    7,102.32/9,802.08 = 4,449.84/x
  3. Step 3: Cross multiply
    7,102.32x = 9,802.08 × 4,449.84
  4. Step 4: Simplify right side
    7,102.32x = 43,617,687.67
  5. Step 5: Solve for x
    x = 43,617,687.67/7,102.32
  6. Step 6: Final answer
    x = 6,141.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.